The lattice of partitions and the sublattice of non-crossing partitions of a finite set are important objects in combinatorics. In this paper another sublattice of the partitions is investigated, which is formed by the symmetric partitions. The measure whose nth moment is given by the number of non-crossing symmetric partitions of n elements is determined explicitly to be the "symmetric" analogue of the free Poisson law.
@article{bwmeta1.element.bwnjournal-article-cmv86i1p93bwm,
author = {Ferenc Oravecz},
title = {Symmetric partitions and pairings},
journal = {Colloquium Mathematicae},
volume = {84/85},
year = {2000},
pages = {93-101},
zbl = {0971.05009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv86i1p93bwm}
}
Oravecz, Ferenc. Symmetric partitions and pairings. Colloquium Mathematicae, Tome 84/85 (2000) pp. 93-101. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv86i1p93bwm/
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